11005001116161 has 64 divisors (see below), whose sum is σ = 17354217081600. Its totient is φ = 6137904439296.

The previous prime is 11005001116117. The next prime is 11005001116171. The reversal of 11005001116161 is 16161110050011.

It is not a de Polignac number, because 11005001116161 - 2²⁹ = 11004464245249 is a prime.

It is a super-2 number, since 2×11005001116161² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11005001116171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6531925 + ... + 8042141.

It is an arithmetic number, because the mean of its divisors is an integer number (271159641900).

Almost surely, 2^{11005001116161} is an apocalyptic number.

It is an amenable number.

11005001116161 is a deficient number, since it is larger than the sum of its proper divisors (6349215965439).

11005001116161 is a wasteful number, since it uses less digits than its factorization.

11005001116161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510658.

The product of its (nonzero) digits is 180, while the sum is 24.

Adding to 11005001116161 its reverse (16161110050011), we get a palindrome (27166111166172).

The spelling of 11005001116161 in words is "eleven trillion, five billion, one million, one hundred sixteen thousand, one hundred sixty-one".